Journal title
Mathematical Proceedings of the Cambridge Philosophical Society
DOI
10.1017/S0305004119000550
Last updated
2021-10-19T13:23:49.237+01:00
Abstract
© 2020 Cambridge Philosophical Society. Leighton's graph covering theorem states that a pair of finite graphs with isomorphic universal covers have a common finite cover. We provide a new proof of Leighton's theorem that allows generalisations; we prove the corresponding result for graphs with fins. As a corollary we obtain pattern rigidity for free groups with line patterns, building on the work of Cashen-Macura and Hagen-Touikan. To illustrate the potential for future applications, we give a quasi-isometric rigidity result for a family of cyclic doubles of free groups.
Symplectic ID
1086961
Submitted to ORA
On
Publication type
Journal Article
Publication date
13 January 2020